If p p p is a prime number greater than 3, then p 2 − 1 p^2 - 1 p 2 − 1 is always divisible by which number?

Question

If

pp
is a prime number greater than 3, then
p21p^2 - 1
is always divisible by which number?

Options

A.

6 but not 12

B.

12 but not 24

C.

24

D.

None of these

prime numbersdivisibilitymodular arithmetic

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